7. Solve the initial-value problem y” + y = 4sinx by using the method of undetermined coefficients. Show the details that you learned this semester to support your answer well. I will assess the process as well as the answer.  

5. Solve the homogeneous linear differential equation by using an auxiliary equation. y(4)

2. Use an integrating factor to solve the linear differential equation xy’

3. Use separation of variables to solve (2 + x)dy

Which philosopher states, following Dostoevsky, that if there is no God, everything is permissible?

Which individual is the major figure of deconstructionism, which breaks down language and structures of thought, arguing that language is inherently unstable and even meaningless apart from internal self-reference?

Which form of literature has essentially reconnected modern culture with the epic and mythological tradition that had been an essential part of the human experience since at least the great epics of antiquity, thus acting as a form of “re-enchantment” for a “disenchanted” modern world after the rise of materialist thought?

Which art movement from the earlier part of the 20th century influenced Pop Art in its experimentation, and extreme subversion, of the meaning of art?

Which is correct regarding filmmaker Ingmar Bergman?

What is the postmodern novel by Gabriel García Márquez that begins in utopia and ends in apocalypse?